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Transactions: WSEAS TRANSACTIONS ON ELECTRONICS
Transactions ID Number: 31-871
Full Name: Xuejun Liu
Position: Professor
Age: ON
Sex: Female
Address: No.8 South Qian Hu Road Ningbo
Country: CHINA
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E-mail address: liangbinzhang2006@126.com
Other E-mails: gaoyibo@gmail.com
Title of the Paper: On Very True Operators and v-Filters
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Number of paper pages: 10
Abstract: In this paper, based on H´ajek, Vychodil, Rachunek and Salounov´a's works, we study the concept of v-filters of residuated lattices with weak vt-operators, axiomatize very true operators, discuss filters and v-filters of residuated lattices with weak vt-operator, give the formulas for calculating the v-filters generated by subsets, and show that lattice of v-filters of a commutative residuated lattice with vt-operator is a complete Brouwerian lattice.
Keywords: Fuzzy logic, Residuated lattice, Very true, Weak vt-operator, v-Filter
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